JψProduction via Fragmentation at the Fermilab Tevatron

The production of $\frac{J}{\psi }$ at large transverse momenta ($p_T>M_{\frac{J}{\psi }}$) in $p\overline{p}$ collisions is considered, including the mechanism of fragmentation. Contributions of fragmentation both to production of $\frac{J}{\psi }$ and to production of $\chi$ states followed by radiative decay to $\frac{J}{\psi }$ are taken into account. The latter is found to be dominant and larger than direct production. The overall theoretical estimate is shown to be nearly consistent with the experimental observation.